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Finding the Third Proportional to 6,423.75 and 7,031.25

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Solution

The third proportional to 6,423.75 and 7,031.25 is: 7,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.75 : 7,031.25 = 7,031.25 : x
  2. Step 2: Convert to fraction form
    6,423.75/7,031.25 = 7,031.25/x
  3. Step 3: Cross multiply
    6,423.75x = 7,031.25 × 7,031.25
  4. Step 4: Simplify right side
    6,423.75x = 49,438,476.56
  5. Step 5: Solve for x
    x = 49,438,476.56/6,423.75
  6. Step 6: Final answer
    x = 7,696.20

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.